Generalized Srivastava's triple hypergeometric functions and their associated properties

Volume 10, Issue 2, pp 817--827 http://dx.doi.org/10.22436/jnsa.010.02.41

Publication Date: February 20, 2017 Submission Date: December 23, 2016

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Authors

Junesang Choi - Department of Mathematics, Dongguk University, Gyeongju 38066, Republic of Korea. Rakesh Kumar Parmar - Department of Mathematics, Government College of Engineering and Technology, Bikaner 334004, Rajasthan, India.

Abstract

The main object of this paper is to introduce generalized Srivastava’s triple hypergeometric functions by using the generalized Pochhammer symbol and investigate certain properties, for example, their various integral representations, derivative formulas and recurrence relations. Various (known or new) special cases and consequences of the results presented here are also considered.

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Keywords

• Gamma function
• beta function
• generalized Pochhammer symbol
• generalized hypergeometric function
• extended Appell functions
• generalized Srivastava’s triple hypergeometric functions
• Whittaker function
• Bessel and modified Bessel functions.

MSC

•  33B15
•  33B20
•  33C05
•  33C15
•  33C20
•  33B99
•  33C99
•  60B99

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